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Finding the Fourth Proportional to 375,724.98, 518,536.35 and 214,604.10

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Solution

The fourth proportional to 375,724.98, 518,536.35 and 214,604.10 is: 296,174.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,724.98 : 518,536.35 = 214,604.10 : x
  2. Step 2: Convert to fraction form
    375,724.98/518,536.35 = 214,604.10/x
  3. Step 3: Cross multiply
    375,724.98x = 518,536.35 × 214,604.10
  4. Step 4: Simplify right side
    375,724.98x = 111,280,026,709.04
  5. Step 5: Solve for x
    x = 111,280,026,709.04/375,724.98
  6. Step 6: Final answer
    x = 296,174.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.